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2 years ago

Easy 100 points if you do all 5 questions. plz help

Mathematics

2 answers:

trasher [3.6K]2 years ago

6 0

Answer:

ok this is for 3

Step-by-step explanation:

im trying to figure 5 out rn

Drupady [299]2 years ago

4 0

Answer: 1) 80 - 66 = 14

2) -5, -2, 0, 2, 4

4) -5.7, -2.4, 2, 3, 4.9

I'm very sorry I didn't know what to do in problems 3 and 5.

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Sarah is a computer engineer and manager and works for a software company. She receives a

daser333 [38]

Answer:

a) Number of projects in the first year = 90

b) Earnings in the twelfth year = $116500

Total money earned in 12 years = $969000

Step-by-step explanation:

Given that:

Number of projects done in fourth year = 129

Number of projects done in tenth year = 207

There is a fixed increase every year.

a) To find:

Number of projects done in the first year.

This problem is nothing but a case of arithmetic progression.

Let the first term i.e. number of projects done in first year = $a$

Given that:

$a_4=129\\a_{10}=207$

Formula for $n^{th}$ term of an Arithmetic Progression is given as:

$a_n=a+(n-1)d$

Where $d$ will represent the number of projects increased every year.

and $n$ is the year number.

$a_4=129=a+(4-1)d \\\Rightarrow 129=a+3d .....(1)\\a_{10}=207=a+(10-1)d \\\Rightarrow 207=a+9d .....(2)$

Subtracting (2) from (1):

$78 = 6d\\\Rightarrow d =13$

By equation (1):

$129 =a+3\times 13\\\Rightarrow a =129-39\\\Rightarrow a =90$

<em>Number of projects in the first year = 90</em>

Number of projects in the twelfth year =

$a_{12} = a+11d\\\Rightarrow a_{12} = 90+11\times 13 =233$

Each project pays $500

Earnings in the twelfth year = 233 $\times$ 500 = $116500

Sum of an AP is given as:

$S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_{12}=\dfrac{12}{2}(2\times 90+(12-1)\times 13)\\\Rightarrow S_{12}=6\times 323\\\Rightarrow S_{12}=1938$

It gives us the total number of projects done in 12 years = 1938

Total money earned in 12 years = 500 $\times$ 1938 = $969000

8 0

3 years ago

Read the passage below and summarise it in a minimum of 100 words:

muminat

Answer:

Find the summary below.

Step-by-step explanation:

The article compares the standard of healthy living some hundred years ago to what is obtainable in our world today. While the energy gained through food consumption some years ago was just adequate and at the right proportion, what is consumed today, supplies energy that is on an all-time high. This misuse of resources led to the development of sustainable development practices such as planting of trees, exercise routines which are done occasionally.

Another sustainable practice that can be done on a more regular basis is the use of jute or paper bags which are more biodegradable, instead of plastic bags. Finally, the article encourages the adoption of more sustainable practices because they can be more economical compared to the other practices that are presumed to be the status quo.

4 0

3 years ago

The x-coordinate of the point (50, 55) is ___________.

marysya [2.9K]

The x-coordinate of the point (50, 55) is 50

<h3>What is graph?</h3>

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The distance of point (50, 55) perpendicular to y-axis

Thus, perpendicular distance = 50 units

The x-coordinate of the point (50, 55) is 50

Learn more about graph

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